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Using linear constraints for logic program termination analysis

Published online by Cambridge University Press:  31 March 2016

MARCO CALAUTTI ,
SERGIO GRECO ,
CRISTIAN MOLINARO  and
IRINA TRUBITSYNA
MARCO CALAUTTI
Affiliation:
DIMES, Università della Calabria, 87036 Rende(CS), Italy (e-mail: calautti@dimes.unical.it, greco@dimes.unical.it, cmolinaro@dimes.unical.it, trubitsyna@dimes.unical.it)
SERGIO GRECO
Affiliation:
DIMES, Università della Calabria, 87036 Rende(CS), Italy (e-mail: calautti@dimes.unical.it, greco@dimes.unical.it, cmolinaro@dimes.unical.it, trubitsyna@dimes.unical.it)
CRISTIAN MOLINARO
Affiliation:
DIMES, Università della Calabria, 87036 Rende(CS), Italy (e-mail: calautti@dimes.unical.it, greco@dimes.unical.it, cmolinaro@dimes.unical.it, trubitsyna@dimes.unical.it)
IRINA TRUBITSYNA
Affiliation:
DIMES, Università della Calabria, 87036 Rende(CS), Italy (e-mail: calautti@dimes.unical.it, greco@dimes.unical.it, cmolinaro@dimes.unical.it, trubitsyna@dimes.unical.it)
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Abstract

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modelling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their introduction is that the evaluation of a program might not terminate and checking whether it terminates or not is undecidable. To cope with this problem, several classes of logic programs have been proposed where the use of function symbols is restricted but the program evaluation termination is guaranteed. Despite the significant body of work in this area, current approaches do not include many simple practical programs whose evaluation terminates. In this paper, we present the novel classes of rule-bounded and cycle-bounded programs, which overcome different limitations of current approaches by performing a more global analysis of how terms are propagated from the body to the head of rules. Results on the correctness, the complexity, and the expressivity of the proposed approach are provided.

Keywords

Answer set programmingFunction symbolsBottom-up evaluationProgram evaluation terminationStable models
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 16 , Special Issue 3: Special Issue on the International Web Rule Symposia 2012-2014 , May 2016 , pp. 353 - 377
Copyright
Copyright © Cambridge University Press 2016 

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